Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3264k |
Isogeny class |
Conductor |
3264 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-62132355072 = -1 · 215 · 38 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1793,-32193] |
[a1,a2,a3,a4,a6] |
j |
-19465109000/1896129 |
j-invariant |
L |
2.9184308196862 |
L(r)(E,1)/r! |
Ω |
0.36480385246077 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3264c2 1632a2 9792r2 81600bd2 |
Quadratic twists by: -4 8 -3 5 |